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Finding the Fourth Proportional to 422,590.86, 634,719.73 and 363,105.07

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Solution

The fourth proportional to 422,590.86, 634,719.73 and 363,105.07 is: 545,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,590.86 : 634,719.73 = 363,105.07 : x
  2. Step 2: Convert to fraction form
    422,590.86/634,719.73 = 363,105.07/x
  3. Step 3: Cross multiply
    422,590.86x = 634,719.73 × 363,105.07
  4. Step 4: Simplify right side
    422,590.86x = 230,469,951,992.03
  5. Step 5: Solve for x
    x = 230,469,951,992.03/422,590.86
  6. Step 6: Final answer
    x = 545,373.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.